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Finding the Fourth Proportional to 1,946.56, 2,686.40 and 1,118.56

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Solution

The fourth proportional to 1,946.56, 2,686.40 and 1,118.56 is: 1,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.56 : 2,686.40 = 1,118.56 : x
  2. Step 2: Convert to fraction form
    1,946.56/2,686.40 = 1,118.56/x
  3. Step 3: Cross multiply
    1,946.56x = 2,686.40 × 1,118.56
  4. Step 4: Simplify right side
    1,946.56x = 3,004,899.58
  5. Step 5: Solve for x
    x = 3,004,899.58/1,946.56
  6. Step 6: Final answer
    x = 1,543.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.